Geodesic
Motion of three point vortices under the condition that one of them passes through the vorticity center
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 37-51

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We use numerical analysis and theory of perturbation to investigate the motion of three point vortices under the condition that one of them passes through the vorticity center.
Keywords: point vortices, perturbation theory, asymptotic behavior. 
A. I. Gudimenko; K. G. Kuptsov. Motion of three point vortices under the condition that one of them passes through the vorticity center. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 37-51. http://geodesic.mathdoc.fr/item/VUU_2009_2_a4/
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[1] Borisov A. V., Mamaev I. S., Matematicheskie metody dinamiki vikhrevykh struktur, Institut kompyuternykh issledovanii, M., Izhevsk, 2005, 386 pp. | MR

[2] Meleshko V. V., Konstantinov M. Yu., Dinamika vikhrevykh struktur, Nauk. dumka, Kiev, 1993, 280 pp. | Zbl

[3] Borisov A.V., Mamaev I. S., Kilin A. A., “Absolute and relative choreographies in the problem of point vortices moving on a plain”, Reg. Chaot. Dyn., 9:2 (2004), 101–112 | DOI | MR

[4] Nayfeh A. H., Perturbation methods, A Wiley-Interscience Publication. John Wiley Sons, New York, 1973, 425 pp. | MR | Zbl